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Finding the Fourth Proportional to 8,462.10, 12,697.68 and 3,535.11

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Solution

The fourth proportional to 8,462.10, 12,697.68 and 3,535.11 is: 5,304.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.10 : 12,697.68 = 3,535.11 : x
  2. Step 2: Convert to fraction form
    8,462.10/12,697.68 = 3,535.11/x
  3. Step 3: Cross multiply
    8,462.10x = 12,697.68 × 3,535.11
  4. Step 4: Simplify right side
    8,462.10x = 44,887,695.54
  5. Step 5: Solve for x
    x = 44,887,695.54/8,462.10
  6. Step 6: Final answer
    x = 5,304.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.